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July 2016 Abstract incomplete degenerate differential equations
Marko Kostić
Tsukuba J. Math. 40(1): 28-53 (July 2016). DOI: 10.21099/tkbjm/1474747486

Abstract

In this paper, we investigate the abstract incomplete degenerate di.erential equations in locally convex spaces, associated with use of the modified Liuoville right-sided fractional derivatives ([21]). The existence of solutions of abstract incomplete degenerate di.erential equations of second order is proved by considering the corresponding incomplete degenerate differential equations of order $1 / \gamma\;(0 \lt \gamma \lt 1/2$) and using an approximation process when $\gamma \rightarrow 1/2\:-$.

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Marko Kostić. "Abstract incomplete degenerate differential equations." Tsukuba J. Math. 40 (1) 28 - 53, July 2016. https://doi.org/10.21099/tkbjm/1474747486

Information

Received: 1 July 2015; Revised: 13 June 2016; Published: July 2016
First available in Project Euclid: 24 September 2016

zbMATH: 1356.47049
MathSciNet: MR3550931
Digital Object Identifier: 10.21099/tkbjm/1474747486

Subjects:
Primary: 47D06, 47D60, 47D62, 47D99

Rights: Copyright © 2016 University of Tsukuba, Institute of Mathematics

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Vol.40 • No. 1 • July 2016
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